Acta mathematica scientia, Series B >
CAUCHY PROBLEM FOR LINEARIZED NON-CUTOFF BOLTZMANN EQUATION WITH DISTRIBUTION INITIAL DATUM
Received date: 2013-12-02
Revised date: 2014-03-11
Online published: 2015-03-20
Supported by
The research of this work was supported by the Fundamental Research Funds for the Central Unversities and National Science Foundation of China (11171261 and 11422106).
In this article, we study the Cauchy problem for the linearized spatially homogeneous non-cutoff Boltzamnn equation with Maxwellian molecules. By using the spectral decomposition, we solve the Cauchy problem with initial datum in the sense of distribution, which contains the dual space of a Gelfand-Shilov class. We also prove that this solution belongs to the Gelfand-Shilov space for any positive time.
Haoguang LI . CAUCHY PROBLEM FOR LINEARIZED NON-CUTOFF BOLTZMANN EQUATION WITH DISTRIBUTION INITIAL DATUM[J]. Acta mathematica scientia, Series B, 2015 , 35(2) : 459 -476 . DOI: 10.1016/S0252-9602(15)60015-7
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